Conditioning of the Stable, Discrete-Time Lyapunov Operator

DOI10.1137/S0895479899354822zbMath0965.15004OpenAlexW2142826705MaRDI QIDQ2706241

Michael K. Tippett, Dan Marchesin, Ricardo Todling, S. E. Cohn

Publication date: 19 March 2001

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479899354822

zbMATH Keywords

large-scale systemsLyapunov matrix equationsingular valuesill-conditioningSchatten \(p\)-normradius of stabilitycondition estimates

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Large-scale systems (93A15) Conditioning of matrices (15A12)

Related Items

A structured condition number for self-adjoint polynomial matrix equations with applications in linear control ⋮ Hermitian Polynomial Matrix Equations and Applications ⋮ Data assimilation as a nonlinear dynamical systems problem: Stability and convergence of the prediction-assimilation system ⋮ CHAOS AND WEATHER FORECASTING: THE ROLE OF THE UNSTABLE SUBSPACE IN PREDICTABILITY AND STATE ESTIMATION PROBLEMS